# How do you solve #a/15=4/5#?

##### 4 Answers

#### Explanation:

Simply use cross multiplication

*hope that helped.*

a = 12

#### Explanation:

Here,

Or,

Or,5a = 60

Or,a =

Or,a = 12

#### Explanation:

#"Alternatively multiply both sides of the equation by"#

#"the "color(blue)"lowest common multiple of 15 and 5"#

#"the lowest common multiple of 15 and 5 is 15"#

#cancel(15)^1xxa/cancel(15)^1=cancel(15)^3xx4/cancel(5)^1#

#rArra=3xx4=12#

#### Explanation:

A fraction's structure is such that we have:

You can not

Multiply by 1 and you do not change the value of something. However, 1 comes in many forms so you change the way something looks without changing its value.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now that the bottom numbers or size indicators (denominators) are the same we can just compare the top numbers or counts (numerators).

Mathematically you say: multiply both sides by 15#

So we now have:

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If we divide the left hand side by the right hand side we will get 1 if they are the same.